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Finding the Fourth Proportional to 415.40, 623.07 and 313.21

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Solution

The fourth proportional to 415.40, 623.07 and 313.21 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 623.07 = 313.21 : x
  2. Step 2: Convert to fraction form
    415.40/623.07 = 313.21/x
  3. Step 3: Cross multiply
    415.40x = 623.07 × 313.21
  4. Step 4: Simplify right side
    415.40x = 195,147.07
  5. Step 5: Solve for x
    x = 195,147.07/415.40
  6. Step 6: Final answer
    x = 469.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.